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Two milk-water solutions A and B are mixed in some ratio to get solution C. The concentration of milk in A, B and C is 30%, 40% and 50% respectively. In what ratio are A and B mixed?
- a)2 : 1
- b)1 : 2
- c)3 : 4
- d)Data inconsistent
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Two milk-water solutions A and B are mixed in some ratio to get soluti...
The concentration of milk in C is greater than the concentration of milk in both A and B, which is not possible.
Hence, the given data is inconsistent.
Hence, option 4.
Hence, the given data is inconsistent.
Hence, option 4.
Most Upvoted Answer
Two milk-water solutions A and B are mixed in some ratio to get soluti...
The concentration of milk in C is greater than the concentration of milk in both A and B, which is not possible.
Hence, the given data is inconsistent.
Hence, option 4.
Hence, the given data is inconsistent.
Hence, option 4.
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Community Answer
Two milk-water solutions A and B are mixed in some ratio to get soluti...
Understanding the Problem
To find the ratio in which solutions A and B are mixed to obtain solution C, we start by defining the concentrations:
- Solution A: 30% milk
- Solution B: 40% milk
- Solution C: 50% milk
Let the volumes of solutions A and B be 'a' and 'b' respectively.
Setting Up the Equation
The concentration of milk in the mixture (solution C) can be represented as follows:
Milk content in A = 0.3a
Milk content in B = 0.4b
Total milk content in C = Milk content in A + Milk content in B = 0.3a + 0.4b
The concentration of milk in solution C is given by:
(0.3a + 0.4b) / (a + b) = 0.5
Cross Multiplying
Cross multiplying gives:
0.3a + 0.4b = 0.5(a + b)
Expanding this equation results in:
0.3a + 0.4b = 0.5a + 0.5b
Rearranging the Equation
Rearranging leads to:
0.3a + 0.4b - 0.5a - 0.5b = 0
-0.2a - 0.1b = 0
This can be simplified to:
0.2a = 0.1b
=> a/b = 1/2
Conclusion: Ratio of A to B
The ratio of solutions A and B is 1:2. However, this contradicts the concentration of solution C. Since it is impossible to achieve a 50% concentration by mixing 30% and 40% solutions, it leads to the conclusion that the given data is inconsistent. Therefore, the correct answer is option 'D'.
To find the ratio in which solutions A and B are mixed to obtain solution C, we start by defining the concentrations:
- Solution A: 30% milk
- Solution B: 40% milk
- Solution C: 50% milk
Let the volumes of solutions A and B be 'a' and 'b' respectively.
Setting Up the Equation
The concentration of milk in the mixture (solution C) can be represented as follows:
Milk content in A = 0.3a
Milk content in B = 0.4b
Total milk content in C = Milk content in A + Milk content in B = 0.3a + 0.4b
The concentration of milk in solution C is given by:
(0.3a + 0.4b) / (a + b) = 0.5
Cross Multiplying
Cross multiplying gives:
0.3a + 0.4b = 0.5(a + b)
Expanding this equation results in:
0.3a + 0.4b = 0.5a + 0.5b
Rearranging the Equation
Rearranging leads to:
0.3a + 0.4b - 0.5a - 0.5b = 0
-0.2a - 0.1b = 0
This can be simplified to:
0.2a = 0.1b
=> a/b = 1/2
Conclusion: Ratio of A to B
The ratio of solutions A and B is 1:2. However, this contradicts the concentration of solution C. Since it is impossible to achieve a 50% concentration by mixing 30% and 40% solutions, it leads to the conclusion that the given data is inconsistent. Therefore, the correct answer is option 'D'.
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Two milk-water solutions A and B are mixed in some ratio to get solution C. The concentration of milk in A, B and C is 30%, 40% and 50% respectively. In what ratio are A and B mixed?a)2 : 1b)1 : 2c)3 : 4d)Data inconsistentCorrect answer is option 'D'. Can you explain this answer?
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Two milk-water solutions A and B are mixed in some ratio to get solution C. The concentration of milk in A, B and C is 30%, 40% and 50% respectively. In what ratio are A and B mixed?a)2 : 1b)1 : 2c)3 : 4d)Data inconsistentCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Two milk-water solutions A and B are mixed in some ratio to get solution C. The concentration of milk in A, B and C is 30%, 40% and 50% respectively. In what ratio are A and B mixed?a)2 : 1b)1 : 2c)3 : 4d)Data inconsistentCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two milk-water solutions A and B are mixed in some ratio to get solution C. The concentration of milk in A, B and C is 30%, 40% and 50% respectively. In what ratio are A and B mixed?a)2 : 1b)1 : 2c)3 : 4d)Data inconsistentCorrect answer is option 'D'. Can you explain this answer?.
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